Mike has only 2 red apples and 3 green apples in
a bowl. Without looking he chooses an apple and
gives it to his sister. Then he chooses an apple for
himself.
What is the probability that he and his sister will
each get a red apple? can u guys explain pls
A 10%
B 30%
C 40%
D 60%
had five apples
p of red = 2/5
now have 4 apples one red
p of red = 1/4
so
2/5 * 1/4 = 1/10 = 0.10 = 10%
To find the probability that both Mike and his sister will each get a red apple, we need to determine the probability of each event happening individually and then multiply them together.
First, let's determine the probability of Mike getting a red apple. Out of the total of 2 red apples and 3 green apples, there is a 2/5 chance of Mike selecting a red apple.
Next, let's determine the probability of Mike's sister getting a red apple. After Mike has taken one apple, there will be 1 red apple left out of the remaining 4 apples. So the probability of his sister selecting a red apple is 1/4.
Now, we can multiply these probabilities together to find the overall probability:
(2/5) * (1/4) = 2/20 = 1/10.
This means that the probability that both Mike and his sister will each get a red apple is 1/10 or 10%.
Therefore, the correct answer is A) 10%.
To find the probability that Mike and his sister each get a red apple, we need to determine the total number of possible outcomes and the number of favorable outcomes.
First, let's determine the total number of possible outcomes. Mike has a total of 5 apples in the bowl, and he chooses one for his sister and one for himself. Since he randomly chooses without looking, there are a total of 5 possible outcomes for Mike's sister's apple and 4 possible outcomes for Mike's apple.
Next, let's determine the number of favorable outcomes. Mike has only 2 red apples in the bowl, so he needs to choose a red apple for his sister and a red apple for himself. Since there are 2 red apples in the bowl, the number of favorable outcomes is 2.
Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 2 / (5 * 4) = 2 / 20 = 1 / 10 = 0.1
So, the probability that Mike and his sister each get a red apple is 10%, which corresponds to option A.